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| Hovedforfatter: | |
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| Format: | Preprint |
| Udgivet: |
2020
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| Fag: | |
| Online adgang: | https://arxiv.org/abs/2008.03049 |
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Indholdsfortegnelse:
- Let $X,Y$ be $(n-1)$-connected finite pointed CW-complexes of dimension at most $n+2$, $n\geq 3$. In this paper we give elementary proofs of the abelian group structure of $[X,Y]$ of homotopy classes of based maps from $X$ to $Y$, which was due to Baues and Schmidt. Furthermore, we determine the explicit generators associated to $[X,Y]$. As an application, we compute certain (sub)groups of self-homotopy equivalences of certain Chang complexes.